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Finding the Third Proportional to 10,635,160 and 23,195,205

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Solution

The third proportional to 10,635,160 and 23,195,205 is: 50,588,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635,160 : 23,195,205 = 23,195,205 : x
  2. Step 2: Convert to fraction form
    10,635,160/23,195,205 = 23,195,205/x
  3. Step 3: Cross multiply
    10,635,160x = 23,195,205 × 23,195,205
  4. Step 4: Simplify right side
    10,635,160x = 538,017,534,992,025
  5. Step 5: Solve for x
    x = 538,017,534,992,025/10,635,160
  6. Step 6: Final answer
    x = 50,588,569.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.